Question

Each angle of a regular octagon has a measure of degrees.

Answer 1

the answer is 135 degrees because google declares it as such. to argue with google is to argue with god. one does not argue with the savior of grades. the messiah of school. the benevolent ruler of our every question.

Answer 2

To find the angles inside of a regular polygon you use the sum (180(n-2))/n:
n being the number of sides.

You can then the eight sides into the equation to get:
(180(n-2))/n = (180(8-2)/8) = 135°

Each angle inside of the octagon is 135°

Hope this helps! :)